Question

Convert each part of the ratio to percentage:

(a) $3:1$ (b) $2:3:5$ (c) $1:4$ (d)$1:2:5$

Answer 1

(a) $3:1$

Total parts $=3+1=4$

$1$st part $=\frac{3}{4}$

$1$st part in percentage $=\frac{3}{4}\times 100\%=75\%$

$2$nd part $=\frac{1}{4}$

$2$nd part in percentage $=\frac{1}{4}\times 100\%=25\%$

(b) $2:3:5$

Total parts $=2+3+5=10$

$1$st part $=\frac{2}{10}$

$1$st part in percentage $=\frac{2}{10}\times 100\%=20\%$

$2$nd part $=\frac{3}{10}$

$2$nd part in percentage $=\frac{3}{10}\times 100\%=30\%$

$3$rd part $=\frac{5}{10}$

$3$rd part in percentage $=\frac{5}{10}\times 100\%=50\%$

(c) $1:4$

Total parts $=1+4=5$

$1$st part $=\frac{1}{5}$

$1$st part in percentage $=\frac{1}{5}\times 100\%=20\%$

$2$nd part $=\frac{4}{5}$

$2$nd part in percentage $=\frac{4}{5}\times 100\%=80\%$

(d) $1:2:5$

Total parts $=1+2+5=8$

$1$st part $=\frac{1}{8}$

$1$st part in percentage $=\frac{1}{8}\times 100\%=12.5\%$

$2$nd part $=\frac{2}{8}$

$2$nd part in percentage $=\frac{2}{8}\times 100\%=25\%$

$3$rd part $=\frac{5}{8}$

$3$rd part in percentage $=\frac{5}{8}\times 100\%=62.5\%$